The heights of the students in a class are (in inches) 60, 72, 56, 57, 74, 61, 64, 63, 66, 56, 72, 72, 71, 74, 61
Alexandra [31]
Answer:
There is a 11% chance that someone 5 foot 6 inches would get chosen.
Step-by-step explanation:
5*12=60
60+6=66
there are 19 numbers
66/19=.105263
you would then round up the tenths place due to the value of the thousandths place being above 5.
Answer:
a). Distance from the surface of miner elevator=532 feet, Distance from the surface of equipment elevator=60 feet
b). The miner elevator is deeper since it is 472 feet deeper than the equipment elevator
Step-by-step explanation:
Equipment elevator speed=4 feet per second
Miner elevator=14 feet per second
Total time of miner elevator=(23+15)=38 seconds
Total time of equipment elevator=15 seconds
a). Distance from the surface of each elevator
Distance from the surface of miner elevator=Miner Speed×Miner Time
Distance=(14×38)=532 feet
Distance from the surface of equipment elevator=Equipment Speed×Equipment Time
Distance=(15×4)=60 feet
b). Which elevator is deeper
Distance from the surface of miner elevator=532 feet
Distance from the surface of equipment elevator= 60 feet
Difference=(532-60)=472 feet
The miner elevator is deeper since it is 472 feet deeper than the equipment elevator
Answer:
A) mPQ = 71º
B) mSR = 161º
C) mQRT = 199ª
D) mPSR = 270º
E) mPS = 109º
Step-by-step explanation:
We know that mST is 19º and QR is also 19º because they're opposite angles. We also know that angle PUR is 90º.
If we subtract 19º from 90º we get 71º for mPQ.
We also know that TR is a 180º angle. Using this if we take 19º from 180º we're left with 161º for mSR.
Using the 180º from angle TR, as well as the 19º from mQR we know that mQRT has to be 199º.
A circle is 360º and a right angle is 90º. That means that mPSR is 270º.
Knowing that TR is 180º and that PR is 90º, PTº must be supplementary making it also 90º. Adding the 19º from ST to the 90º from TP we know that PS is 109º
Answer:
<h3>20feet</h3>
Step-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
Answer:
b = 20, c = 160
Step-by-step explanation:
b and 20 degrees are vertical angles, so they are equal.
b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees
